TSTP Solution File: SWC103-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC103-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:50 EDT 2022
% Result : Unsatisfiable 2.39s 2.78s
% Output : Refutation 2.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC103-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 22:13:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.82/1.17 *** allocated 10000 integers for termspace/termends
% 0.82/1.17 *** allocated 10000 integers for clauses
% 0.82/1.17 *** allocated 10000 integers for justifications
% 0.82/1.17 Bliksem 1.12
% 0.82/1.17
% 0.82/1.17
% 0.82/1.17 Automatic Strategy Selection
% 0.82/1.17
% 0.82/1.17 Clauses:
% 0.82/1.17 [
% 0.82/1.17 [ equalelemsP( nil ) ],
% 0.82/1.17 [ duplicatefreeP( nil ) ],
% 0.82/1.17 [ strictorderedP( nil ) ],
% 0.82/1.17 [ totalorderedP( nil ) ],
% 0.82/1.17 [ strictorderP( nil ) ],
% 0.82/1.17 [ totalorderP( nil ) ],
% 0.82/1.17 [ cyclefreeP( nil ) ],
% 0.82/1.17 [ ssList( nil ) ],
% 0.82/1.17 [ ssItem( skac3 ) ],
% 0.82/1.17 [ ssItem( skac2 ) ],
% 0.82/1.17 [ ~( singletonP( nil ) ) ],
% 0.82/1.17 [ ssItem( skaf83( X ) ) ],
% 0.82/1.17 [ ssList( skaf82( X ) ) ],
% 0.82/1.17 [ ssList( skaf81( X ) ) ],
% 0.82/1.17 [ ssList( skaf80( X ) ) ],
% 0.82/1.17 [ ssItem( skaf79( X ) ) ],
% 0.82/1.17 [ ssItem( skaf78( X ) ) ],
% 0.82/1.17 [ ssList( skaf77( X ) ) ],
% 0.82/1.17 [ ssList( skaf76( X ) ) ],
% 0.82/1.17 [ ssList( skaf75( X ) ) ],
% 0.82/1.17 [ ssItem( skaf74( X ) ) ],
% 0.82/1.17 [ ssList( skaf73( X ) ) ],
% 0.82/1.17 [ ssList( skaf72( X ) ) ],
% 0.82/1.17 [ ssList( skaf71( X ) ) ],
% 0.82/1.17 [ ssItem( skaf70( X ) ) ],
% 0.82/1.17 [ ssItem( skaf69( X ) ) ],
% 0.82/1.17 [ ssList( skaf68( X ) ) ],
% 0.82/1.17 [ ssList( skaf67( X ) ) ],
% 0.82/1.17 [ ssList( skaf66( X ) ) ],
% 0.82/1.17 [ ssItem( skaf65( X ) ) ],
% 0.82/1.17 [ ssItem( skaf64( X ) ) ],
% 0.82/1.17 [ ssList( skaf63( X ) ) ],
% 0.82/1.17 [ ssList( skaf62( X ) ) ],
% 0.82/1.17 [ ssList( skaf61( X ) ) ],
% 0.82/1.17 [ ssItem( skaf60( X ) ) ],
% 0.82/1.17 [ ssItem( skaf59( X ) ) ],
% 0.82/1.17 [ ssList( skaf58( X ) ) ],
% 0.82/1.17 [ ssList( skaf57( X ) ) ],
% 0.82/1.17 [ ssList( skaf56( X ) ) ],
% 0.82/1.17 [ ssItem( skaf55( X ) ) ],
% 0.82/1.17 [ ssItem( skaf54( X ) ) ],
% 0.82/1.17 [ ssList( skaf53( X ) ) ],
% 0.82/1.17 [ ssList( skaf52( X ) ) ],
% 0.82/1.17 [ ssList( skaf51( X ) ) ],
% 0.82/1.17 [ ssItem( skaf50( X ) ) ],
% 0.82/1.17 [ ssItem( skaf49( X ) ) ],
% 0.82/1.17 [ ssItem( skaf44( X ) ) ],
% 0.82/1.17 [ ssList( skaf48( X, Y ) ) ],
% 0.82/1.17 [ ssList( skaf47( X, Y ) ) ],
% 0.82/1.17 [ ssList( skaf46( X, Y ) ) ],
% 0.82/1.17 [ ssList( skaf45( X, Y ) ) ],
% 0.82/1.17 [ ssList( skaf43( X, Y ) ) ],
% 0.82/1.17 [ ssList( skaf42( X, Y ) ) ],
% 0.82/1.17 [ ~( =( skac3, skac2 ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.82/1.17 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.82/1.17 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.82/1.17 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.82/1.17 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.82/1.17 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.82/1.17 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.82/1.17 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.82/1.17 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.82/1.17 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.82/1.17 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.82/1.17 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.82/1.17 ],
% 0.82/1.17 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.82/1.17 X ) ],
% 0.82/1.17 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.82/1.17 X ) ],
% 0.82/1.17 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.82/1.17 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.82/1.17 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.82/1.17 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.82/1.17 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.82/1.17 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.82/1.17 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.82/1.17 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.82/1.17 ) ],
% 0.82/1.17 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.82/1.17 cons( Y, X ) ) ],
% 0.82/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.82/1.17 cons( Y, X ) ) ],
% 0.82/1.17 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.82/1.17 singletonP( Y ) ],
% 0.82/1.17 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.82/1.17 , X ) ],
% 0.82/1.17 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.82/1.17 , Y ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.82/1.17 X, Y ) ) ],
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.82/1.17 , Y ) ],
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.82/1.17 , Y ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.82/1.17 , hd( Y ) ) ],
% 0.82/1.17 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.82/1.17 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.82/1.17 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.82/1.17 , totalorderedP( Y ), =( nil, Y ) ],
% 0.82/1.17 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.82/1.17 , =( Y, X ) ],
% 0.82/1.17 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.82/1.17 ssList( Y ) ), =( Y, X ) ],
% 0.82/1.17 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.82/1.17 ssList( Y ) ), =( Y, X ) ],
% 0.82/1.17 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.82/1.17 ssList( Y ) ), =( Y, X ) ],
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.82/1.17 , =( Y, X ) ],
% 0.82/1.17 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.82/1.17 skaf46( X, Y ), Y ), X ) ],
% 0.82/1.17 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.82/1.17 , skaf45( X, Y ) ), X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.82/1.17 , app( tl( Y ), X ) ) ],
% 0.82/1.17 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.82/1.17 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.82/1.17 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.82/1.17 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.82/1.17 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.82/1.17 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.82/1.17 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.82/1.17 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.82/1.17 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.82/1.17 memberP( cons( Y, Z ), X ) ],
% 0.82/1.17 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.82/1.17 ) ), memberP( cons( Z, X ), Y ) ],
% 0.82/1.17 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.82/1.17 ) ), memberP( app( X, Z ), Y ) ],
% 0.82/1.17 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.82/1.17 ) ), memberP( app( Z, X ), Y ) ],
% 0.82/1.17 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.82/1.17 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.82/1.17 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.82/1.17 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.82/1.17 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.82/1.17 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.82/1.17 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.82/1.17 , =( app( X, Y ), nil ) ],
% 0.82/1.17 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.82/1.17 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.82/1.17 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.82/1.17 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.82/1.17 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.82/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.82/1.17 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.82/1.17 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.82/1.17 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.82/1.17 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.82/1.17 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.82/1.17 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.82/1.17 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.82/1.17 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.82/1.17 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.82/1.17 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.82/1.17 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.82/1.17 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.82/1.17 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.82/1.17 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.82/1.17 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.82/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.82/1.17 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.82/1.17 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.82/1.17 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.82/1.17 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.82/1.17 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.82/1.17 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.82/1.17 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.82/1.17 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.82/1.17 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.82/1.17 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.82/1.17 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.82/1.17 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.82/1.17 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.82/1.17 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.82/1.17 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.82/1.17 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.82/1.17 ,
% 0.82/1.17 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.82/1.17 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.82/1.17 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.82/1.17 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.82/1.17 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.82/1.17 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.82/1.17 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.82/1.17 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.82/1.17 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.82/1.28 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.82/1.28 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.82/1.28 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.82/1.28 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.82/1.28 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.82/1.28 ,
% 0.82/1.28 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.82/1.28 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.82/1.28 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.82/1.28 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.82/1.28 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.82/1.28 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.82/1.28 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.82/1.28 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.82/1.28 T, Y ) ) ],
% 0.82/1.28 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.82/1.28 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.28 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.82/1.28 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.82/1.28 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.82/1.28 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.82/1.28 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.28 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.28 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.82/1.28 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.28 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.28 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.82/1.28 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.28 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.28 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.82/1.28 ,
% 0.82/1.28 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.28 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.28 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.82/1.28 ,
% 0.82/1.28 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.82/1.28 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.82/1.28 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.82/1.28 W ) ) ],
% 0.82/1.28 [ ssList( sk1 ) ],
% 0.82/1.28 [ ssList( sk2 ) ],
% 0.82/1.28 [ ssList( sk3 ) ],
% 0.82/1.28 [ ssList( sk4 ) ],
% 0.82/1.28 [ =( sk2, sk4 ) ],
% 0.82/1.28 [ =( sk1, sk3 ) ],
% 0.82/1.28 [ neq( sk2, nil ) ],
% 0.82/1.28 [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ],
% 0.82/1.28 [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ],
% 0.82/1.28 [ ~( neq( sk4, nil ) ), neq( sk3, nil ) ],
% 0.82/1.28 [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ]
% 0.82/1.28 ] .
% 0.82/1.28
% 0.82/1.28
% 0.82/1.28 percentage equality = 0.162829, percentage horn = 0.844560
% 0.82/1.28 This is a problem with some equality
% 0.82/1.28
% 0.82/1.28
% 0.82/1.28
% 0.82/1.28 Options Used:
% 0.82/1.28
% 0.82/1.28 useres = 1
% 0.82/1.28 useparamod = 1
% 0.82/1.28 useeqrefl = 1
% 0.82/1.28 useeqfact = 1
% 0.82/1.28 usefactor = 1
% 0.82/1.28 usesimpsplitting = 0
% 0.82/1.28 usesimpdemod = 5
% 0.82/1.28 usesimpres = 3
% 0.82/1.28
% 0.82/1.28 resimpinuse = 1000
% 0.82/1.28 resimpclauses = 20000
% 0.82/1.28 substype = eqrewr
% 0.82/1.28 backwardsubs = 1
% 0.82/1.28 selectoldest = 5
% 0.82/1.28
% 0.82/1.28 litorderings [0] = split
% 0.82/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.28
% 0.82/1.28 termordering = kbo
% 0.82/1.28
% 0.82/1.28 litapriori = 0
% 0.82/1.28 termapriori = 1
% 0.82/1.28 litaposteriori = 0
% 0.82/1.28 termaposteriori = 0
% 0.82/1.28 demodaposteriori = 0
% 0.82/1.28 ordereqreflfact = 0
% 0.82/1.28
% 0.82/1.28 litselect = negord
% 0.82/1.28
% 0.82/1.28 maxweight = 15
% 0.82/1.28 maxdepth = 30000
% 0.82/1.28 maxlength = 115
% 0.82/1.28 maxnrvars = 195
% 0.82/1.28 excuselevel = 1
% 0.82/1.28 increasemaxweight = 1
% 0.82/1.28
% 0.82/1.28 maxselected = 10000000
% 0.82/1.28 maxnrclauses = 10000000
% 0.82/1.28
% 0.82/1.28 showgenerated = 0
% 0.82/1.28 showkept = 0
% 0.82/1.28 showselected = 0
% 0.82/1.28 showdeleted = 0
% 0.82/1.28 showresimp = 1
% 0.82/1.28 showstatus = 2000
% 0.82/1.28
% 0.82/1.28 prologoutput = 1
% 0.82/1.28 nrgoals = 5000000
% 0.82/1.28 totalproof = 1
% 0.82/1.28
% 0.82/1.28 Symbols occurring in the translation:
% 0.82/1.28
% 0.82/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.28 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 2.39/2.78 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 2.39/2.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.39/2.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.39/2.78 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.39/2.78 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.39/2.78 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.39/2.78 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.39/2.78 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.39/2.78 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.39/2.78 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.39/2.78 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.39/2.78 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.39/2.78 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.39/2.78 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.39/2.78 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.39/2.78 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.39/2.78 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.39/2.78 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.39/2.78 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.39/2.78 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.39/2.78 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.39/2.78 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.39/2.78 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.39/2.78 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.39/2.78 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.39/2.78 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.39/2.78 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.39/2.78 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.39/2.78 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.39/2.78 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.39/2.78 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.39/2.78 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.39/2.78 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.39/2.78 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.39/2.78 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.39/2.78 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.39/2.78 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.39/2.78 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.39/2.78 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.39/2.78 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.39/2.78 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.39/2.78 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.39/2.78 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.39/2.78 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.39/2.78 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.39/2.78 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.39/2.78 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.39/2.78 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.39/2.78 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.39/2.78 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.39/2.78 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.39/2.78 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.39/2.78 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.39/2.78 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 2.39/2.78 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.39/2.78 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 2.39/2.78 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.39/2.78 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.39/2.78 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.39/2.78 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.39/2.78 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.39/2.78 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.39/2.78 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.39/2.78 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.39/2.78 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.39/2.78 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.39/2.78 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.39/2.78 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.39/2.78 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.39/2.78 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.39/2.78 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.39/2.78 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.39/2.78 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.39/2.78 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.39/2.78 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Starting Search:
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 4082
% 2.39/2.78 Kept: 2002
% 2.39/2.78 Inuse: 206
% 2.39/2.78 Deleted: 2
% 2.39/2.78 Deletedinuse: 0
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 9097
% 2.39/2.78 Kept: 4703
% 2.39/2.78 Inuse: 294
% 2.39/2.78 Deleted: 2
% 2.39/2.78 Deletedinuse: 0
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 15264
% 2.39/2.78 Kept: 7142
% 2.39/2.78 Inuse: 373
% 2.39/2.78 Deleted: 3
% 2.39/2.78 Deletedinuse: 0
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 21274
% 2.39/2.78 Kept: 9169
% 2.39/2.78 Inuse: 392
% 2.39/2.78 Deleted: 4
% 2.39/2.78 Deletedinuse: 0
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 37638
% 2.39/2.78 Kept: 11183
% 2.39/2.78 Inuse: 442
% 2.39/2.78 Deleted: 6
% 2.39/2.78 Deletedinuse: 2
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 46045
% 2.39/2.78 Kept: 13234
% 2.39/2.78 Inuse: 492
% 2.39/2.78 Deleted: 6
% 2.39/2.78 Deletedinuse: 2
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 55245
% 2.39/2.78 Kept: 15444
% 2.39/2.78 Inuse: 527
% 2.39/2.78 Deleted: 6
% 2.39/2.78 Deletedinuse: 2
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 63971
% 2.39/2.78 Kept: 17485
% 2.39/2.78 Inuse: 557
% 2.39/2.78 Deleted: 7
% 2.39/2.78 Deletedinuse: 3
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 Intermediate Status:
% 2.39/2.78 Generated: 75401
% 2.39/2.78 Kept: 19640
% 2.39/2.78 Inuse: 587
% 2.39/2.78 Deleted: 8
% 2.39/2.78 Deletedinuse: 4
% 2.39/2.78
% 2.39/2.78 Resimplifying inuse:
% 2.39/2.78 Done
% 2.39/2.78
% 2.39/2.78 Resimplifying clauses:
% 2.39/2.78
% 2.39/2.78 Bliksems!, er is een bewijs:
% 2.39/2.78 % SZS status Unsatisfiable
% 2.39/2.78 % SZS output start Refutation
% 2.39/2.78
% 2.39/2.78 clause( 186, [ =( sk4, sk2 ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 187, [ =( sk3, sk1 ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 188, [ neq( sk2, nil ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 190, [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 191, [ neq( sk1, nil ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 192, [ frontsegP( sk2, sk1 ) ] )
% 2.39/2.78 .
% 2.39/2.78 clause( 20170, [] )
% 2.39/2.78 .
% 2.39/2.78
% 2.39/2.78
% 2.39/2.78 % SZS output end Refutation
% 2.39/2.78 found a proof!
% 2.39/2.78
% 2.39/2.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.39/2.78
% 2.39/2.78 initialclauses(
% 2.39/2.78 [ clause( 20172, [ equalelemsP( nil ) ] )
% 2.39/2.78 , clause( 20173, [ duplicatefreeP( nil ) ] )
% 2.39/2.78 , clause( 20174, [ strictorderedP( nil ) ] )
% 2.39/2.78 , clause( 20175, [ totalorderedP( nil ) ] )
% 2.39/2.78 , clause( 20176, [ strictorderP( nil ) ] )
% 2.39/2.78 , clause( 20177, [ totalorderP( nil ) ] )
% 2.39/2.78 , clause( 20178, [ cyclefreeP( nil ) ] )
% 2.39/2.78 , clause( 20179, [ ssList( nil ) ] )
% 2.39/2.78 , clause( 20180, [ ssItem( skac3 ) ] )
% 2.39/2.78 , clause( 20181, [ ssItem( skac2 ) ] )
% 2.39/2.78 , clause( 20182, [ ~( singletonP( nil ) ) ] )
% 2.39/2.78 , clause( 20183, [ ssItem( skaf83( X ) ) ] )
% 2.39/2.78 , clause( 20184, [ ssList( skaf82( X ) ) ] )
% 2.39/2.78 , clause( 20185, [ ssList( skaf81( X ) ) ] )
% 2.39/2.78 , clause( 20186, [ ssList( skaf80( X ) ) ] )
% 2.39/2.78 , clause( 20187, [ ssItem( skaf79( X ) ) ] )
% 2.39/2.78 , clause( 20188, [ ssItem( skaf78( X ) ) ] )
% 2.39/2.78 , clause( 20189, [ ssList( skaf77( X ) ) ] )
% 2.39/2.78 , clause( 20190, [ ssList( skaf76( X ) ) ] )
% 2.39/2.78 , clause( 20191, [ ssList( skaf75( X ) ) ] )
% 2.39/2.78 , clause( 20192, [ ssItem( skaf74( X ) ) ] )
% 2.39/2.78 , clause( 20193, [ ssList( skaf73( X ) ) ] )
% 2.39/2.78 , clause( 20194, [ ssList( skaf72( X ) ) ] )
% 2.39/2.78 , clause( 20195, [ ssList( skaf71( X ) ) ] )
% 2.39/2.78 , clause( 20196, [ ssItem( skaf70( X ) ) ] )
% 2.39/2.78 , clause( 20197, [ ssItem( skaf69( X ) ) ] )
% 2.39/2.78 , clause( 20198, [ ssList( skaf68( X ) ) ] )
% 2.39/2.78 , clause( 20199, [ ssList( skaf67( X ) ) ] )
% 2.39/2.78 , clause( 20200, [ ssList( skaf66( X ) ) ] )
% 2.39/2.78 , clause( 20201, [ ssItem( skaf65( X ) ) ] )
% 2.39/2.78 , clause( 20202, [ ssItem( skaf64( X ) ) ] )
% 2.39/2.78 , clause( 20203, [ ssList( skaf63( X ) ) ] )
% 2.39/2.78 , clause( 20204, [ ssList( skaf62( X ) ) ] )
% 2.39/2.78 , clause( 20205, [ ssList( skaf61( X ) ) ] )
% 2.39/2.78 , clause( 20206, [ ssItem( skaf60( X ) ) ] )
% 2.39/2.78 , clause( 20207, [ ssItem( skaf59( X ) ) ] )
% 2.39/2.78 , clause( 20208, [ ssList( skaf58( X ) ) ] )
% 2.39/2.78 , clause( 20209, [ ssList( skaf57( X ) ) ] )
% 2.39/2.78 , clause( 20210, [ ssList( skaf56( X ) ) ] )
% 2.39/2.78 , clause( 20211, [ ssItem( skaf55( X ) ) ] )
% 2.39/2.78 , clause( 20212, [ ssItem( skaf54( X ) ) ] )
% 2.39/2.78 , clause( 20213, [ ssList( skaf53( X ) ) ] )
% 2.39/2.78 , clause( 20214, [ ssList( skaf52( X ) ) ] )
% 2.39/2.78 , clause( 20215, [ ssList( skaf51( X ) ) ] )
% 2.39/2.78 , clause( 20216, [ ssItem( skaf50( X ) ) ] )
% 2.39/2.78 , clause( 20217, [ ssItem( skaf49( X ) ) ] )
% 2.39/2.78 , clause( 20218, [ ssItem( skaf44( X ) ) ] )
% 2.39/2.78 , clause( 20219, [ ssList( skaf48( X, Y ) ) ] )
% 2.39/2.78 , clause( 20220, [ ssList( skaf47( X, Y ) ) ] )
% 2.39/2.78 , clause( 20221, [ ssList( skaf46( X, Y ) ) ] )
% 2.39/2.78 , clause( 20222, [ ssList( skaf45( X, Y ) ) ] )
% 2.39/2.78 , clause( 20223, [ ssList( skaf43( X, Y ) ) ] )
% 2.39/2.78 , clause( 20224, [ ssList( skaf42( X, Y ) ) ] )
% 2.39/2.78 , clause( 20225, [ ~( =( skac3, skac2 ) ) ] )
% 2.39/2.78 , clause( 20226, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.39/2.78 , clause( 20227, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.39/2.78 , clause( 20228, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.39/2.78 , clause( 20229, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.39/2.78 , clause( 20230, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.39/2.78 , clause( 20231, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.39/2.78 , clause( 20232, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.39/2.78 , clause( 20233, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.39/2.78 , clause( 20234, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.39/2.78 , clause( 20235, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20236, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20237, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20238, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20239, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20240, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20241, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.39/2.78 , clause( 20242, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.39/2.78 , clause( 20243, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.39/2.78 , clause( 20244, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.39/2.78 , clause( 20245, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.39/2.78 , clause( 20246, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.39/2.78 , clause( 20247, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.39/2.78 , clause( 20248, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.39/2.78 , clause( 20249, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.39/2.78 , clause( 20250, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.39/2.78 )
% 2.39/2.78 , clause( 20251, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.39/2.78 )
% 2.39/2.78 , clause( 20252, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.39/2.78 )
% 2.39/2.78 , clause( 20253, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.39/2.78 )
% 2.39/2.78 , clause( 20254, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.39/2.78 ] )
% 2.39/2.78 , clause( 20255, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.39/2.78 ] )
% 2.39/2.78 , clause( 20256, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.39/2.78 ) ] )
% 2.39/2.78 , clause( 20257, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.39/2.78 ) ] )
% 2.39/2.78 , clause( 20258, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.39/2.78 skaf49( X ) ) ] )
% 2.39/2.78 , clause( 20259, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.39/2.78 skaf50( X ) ) ] )
% 2.39/2.78 , clause( 20260, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 equalelemsP( X ) ] )
% 2.39/2.78 , clause( 20261, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 strictorderedP( X ) ] )
% 2.39/2.78 , clause( 20262, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 totalorderedP( X ) ] )
% 2.39/2.78 , clause( 20263, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 strictorderP( X ) ] )
% 2.39/2.78 , clause( 20264, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 strictorderP( X ) ] )
% 2.39/2.78 , clause( 20265, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 totalorderP( X ) ] )
% 2.39/2.78 , clause( 20266, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.39/2.78 totalorderP( X ) ] )
% 2.39/2.78 , clause( 20267, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.39/2.78 ), Y ) ] )
% 2.39/2.78 , clause( 20268, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.39/2.78 ), X ) ] )
% 2.39/2.78 , clause( 20269, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.39/2.78 Y ) ) ] )
% 2.39/2.78 , clause( 20270, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.39/2.78 Y ) ) ] )
% 2.39/2.78 , clause( 20271, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.39/2.78 ) ] )
% 2.39/2.78 , clause( 20272, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.39/2.78 X ), nil ), X ) ] )
% 2.39/2.78 , clause( 20273, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.39/2.78 ) ] )
% 2.39/2.78 , clause( 20274, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.39/2.78 X, Y ) ] )
% 2.39/2.78 , clause( 20275, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.39/2.78 nil, X ) ] )
% 2.39/2.78 , clause( 20276, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.39/2.78 Y, X ) ] )
% 2.39/2.78 , clause( 20277, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.39/2.78 Y, X ) ] )
% 2.39/2.78 , clause( 20278, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.39/2.79 leq( Y, X ) ] )
% 2.39/2.79 , clause( 20279, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.39/2.79 geq( Y, X ) ] )
% 2.39/2.79 , clause( 20280, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.39/2.79 ), =( nil, X ) ] )
% 2.39/2.79 , clause( 20281, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.39/2.79 ssItem( Y ) ) ] )
% 2.39/2.79 , clause( 20282, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.39/2.79 ssItem( X ) ) ] )
% 2.39/2.79 , clause( 20283, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.39/2.79 strictorderedP( cons( Y, X ) ) ] )
% 2.39/2.79 , clause( 20284, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.39/2.79 totalorderedP( cons( Y, X ) ) ] )
% 2.39/2.79 , clause( 20285, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.39/2.79 ssItem( Y ) ) ] )
% 2.39/2.79 , clause( 20286, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.39/2.79 ssList( X ) ) ] )
% 2.39/2.79 , clause( 20287, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.39/2.79 Y ) ), singletonP( Y ) ] )
% 2.39/2.79 , clause( 20288, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.39/2.79 ssItem( X ) ) ] )
% 2.39/2.79 , clause( 20289, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.39/2.79 X ) ), =( nil, X ) ] )
% 2.39/2.79 , clause( 20290, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.39/2.79 X ) ), =( nil, Y ) ] )
% 2.39/2.79 , clause( 20291, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.39/2.79 ), Y ), cons( X, Y ) ) ] )
% 2.39/2.79 , clause( 20292, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.39/2.79 X, Y ), =( X, Y ) ] )
% 2.39/2.79 , clause( 20293, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.39/2.79 X, Y ), =( X, Y ) ] )
% 2.39/2.79 , clause( 20294, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.39/2.79 app( Y, X ) ), hd( Y ) ) ] )
% 2.39/2.79 , clause( 20295, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.39/2.79 , clause( 20296, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.39/2.79 , clause( 20297, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.39/2.79 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.39/2.79 , clause( 20298, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.39/2.79 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.39/2.79 , clause( 20299, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.39/2.79 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.39/2.79 , clause( 20300, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.39/2.79 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.39/2.79 , clause( 20301, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.39/2.79 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.39/2.79 , clause( 20302, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.39/2.79 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.39/2.79 , clause( 20303, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.39/2.79 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.39/2.79 , clause( 20304, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.39/2.79 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.39/2.79 , clause( 20305, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.39/2.79 , clause( 20306, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.39/2.79 , clause( 20307, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.39/2.79 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.39/2.79 , clause( 20308, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.39/2.79 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.39/2.79 , clause( 20309, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.39/2.79 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.39/2.79 , clause( 20310, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.39/2.79 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.39/2.79 , clause( 20311, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.39/2.79 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.39/2.79 , clause( 20312, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.39/2.79 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.39/2.79 , clause( 20313, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.39/2.79 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.39/2.79 , clause( 20314, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.39/2.79 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.39/2.79 , clause( 20315, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.39/2.79 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.39/2.79 , clause( 20316, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.39/2.79 , clause( 20317, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.39/2.79 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.39/2.79 , clause( 20318, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.39/2.79 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.39/2.79 , clause( 20319, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.39/2.79 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.39/2.79 , clause( 20320, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.39/2.79 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.39/2.79 , clause( 20321, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.39/2.79 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.39/2.79 , clause( 20322, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.39/2.79 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.39/2.79 , clause( 20323, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.39/2.79 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.39/2.79 , clause( 20324, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.39/2.79 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.39/2.79 , clause( 20325, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.39/2.79 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.39/2.79 , clause( 20326, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.39/2.79 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.39/2.79 , clause( 20327, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.39/2.79 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.39/2.79 , clause( 20328, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.39/2.79 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.39/2.79 , clause( 20329, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.39/2.79 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.39/2.79 , clause( 20330, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.39/2.79 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.39/2.79 ) ] )
% 2.39/2.79 , clause( 20331, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.39/2.79 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.39/2.79 Y ) ] )
% 2.39/2.79 , clause( 20332, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.39/2.79 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.39/2.79 , clause( 20333, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.39/2.79 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.39/2.79 skaf77( X ) ) ), X ) ] )
% 2.39/2.79 , clause( 20334, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.39/2.79 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.39/2.79 skaf73( X ) ) ), X ) ] )
% 2.39/2.79 , clause( 20335, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.39/2.79 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.39/2.79 skaf68( X ) ) ), X ) ] )
% 2.39/2.79 , clause( 20336, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.39/2.79 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.39/2.79 ), X ) ] )
% 2.39/2.79 , clause( 20337, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.39/2.79 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.39/2.79 ), X ) ] )
% 2.39/2.79 , clause( 20338, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.39/2.79 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.39/2.79 ), X ) ] )
% 2.39/2.79 , clause( 20339, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.39/2.79 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.39/2.79 , clause( 20340, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.39/2.79 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.39/2.79 , clause( 20341, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.39/2.79 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.39/2.79 , clause( 20342, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.39/2.79 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.39/2.79 , clause( 20343, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.39/2.81 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.39/2.81 Y ) ] )
% 2.39/2.81 , clause( 20344, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.39/2.81 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.39/2.81 )
% 2.39/2.81 , clause( 20345, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.39/2.81 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.39/2.81 , T ) ] )
% 2.39/2.81 , clause( 20346, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.39/2.81 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.39/2.81 )
% 2.39/2.81 , clause( 20347, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.39/2.81 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.39/2.81 )
% 2.39/2.81 , clause( 20348, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.39/2.81 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.39/2.81 )
% 2.39/2.81 , clause( 20349, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.39/2.81 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.39/2.81 Z, X ), cons( T, Y ) ) ] )
% 2.39/2.81 , clause( 20350, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.39/2.81 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.39/2.81 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.39/2.81 , clause( 20351, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.39/2.81 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.39/2.81 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.39/2.81 , clause( 20352, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.39/2.81 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.39/2.81 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.39/2.81 ) ] )
% 2.39/2.81 , clause( 20353, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.39/2.81 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.39/2.81 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.39/2.81 ) ] )
% 2.39/2.81 , clause( 20354, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.39/2.81 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.39/2.81 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 2.39/2.81 , lt( T, Y ) ] )
% 2.39/2.81 , clause( 20355, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.39/2.81 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.39/2.81 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 2.39/2.81 , leq( T, Y ) ] )
% 2.39/2.81 , clause( 20356, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 2.39/2.81 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 2.39/2.81 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 2.39/2.81 ) ), ~( ssList( W ) ) ] )
% 2.39/2.81 , clause( 20357, [ ssList( sk1 ) ] )
% 2.39/2.81 , clause( 20358, [ ssList( sk2 ) ] )
% 2.39/2.81 , clause( 20359, [ ssList( sk3 ) ] )
% 2.39/2.81 , clause( 20360, [ ssList( sk4 ) ] )
% 2.39/2.81 , clause( 20361, [ =( sk2, sk4 ) ] )
% 2.39/2.81 , clause( 20362, [ =( sk1, sk3 ) ] )
% 2.39/2.81 , clause( 20363, [ neq( sk2, nil ) ] )
% 2.39/2.81 , clause( 20364, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.39/2.81 , clause( 20365, [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ] )
% 2.39/2.81 , clause( 20366, [ ~( neq( sk4, nil ) ), neq( sk3, nil ) ] )
% 2.39/2.81 , clause( 20367, [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ] )
% 2.39/2.81 ] ).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 eqswap(
% 2.39/2.81 clause( 21125, [ =( sk4, sk2 ) ] )
% 2.39/2.81 , clause( 20361, [ =( sk2, sk4 ) ] )
% 2.39/2.81 , 0, substitution( 0, [] )).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 subsumption(
% 2.39/2.81 clause( 186, [ =( sk4, sk2 ) ] )
% 2.39/2.81 , clause( 21125, [ =( sk4, sk2 ) ] )
% 2.39/2.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 eqswap(
% 2.39/2.81 clause( 21884, [ =( sk3, sk1 ) ] )
% 2.39/2.81 , clause( 20362, [ =( sk1, sk3 ) ] )
% 2.39/2.81 , 0, substitution( 0, [] )).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 subsumption(
% 2.39/2.81 clause( 187, [ =( sk3, sk1 ) ] )
% 2.39/2.81 , clause( 21884, [ =( sk3, sk1 ) ] )
% 2.39/2.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 subsumption(
% 2.39/2.81 clause( 188, [ neq( sk2, nil ) ] )
% 2.39/2.81 , clause( 20363, [ neq( sk2, nil ) ] )
% 2.39/2.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.39/2.81
% 2.39/2.81
% 2.39/2.81 subsumption(
% 2.39/2.81 clause( 190, [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ] )
% 2.39/2.81 , clause( 20365, [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ] )
% 2.39/2.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.46/2.82 ).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 paramod(
% 2.46/2.82 clause( 24575, [ ~( neq( sk2, nil ) ), neq( sk3, nil ) ] )
% 2.46/2.82 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.46/2.82 , 0, clause( 20366, [ ~( neq( sk4, nil ) ), neq( sk3, nil ) ] )
% 2.46/2.82 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 paramod(
% 2.46/2.82 clause( 24576, [ neq( sk1, nil ), ~( neq( sk2, nil ) ) ] )
% 2.46/2.82 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.46/2.82 , 0, clause( 24575, [ ~( neq( sk2, nil ) ), neq( sk3, nil ) ] )
% 2.46/2.82 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 resolution(
% 2.46/2.82 clause( 24577, [ neq( sk1, nil ) ] )
% 2.46/2.82 , clause( 24576, [ neq( sk1, nil ), ~( neq( sk2, nil ) ) ] )
% 2.46/2.82 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 2.46/2.82 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 subsumption(
% 2.46/2.82 clause( 191, [ neq( sk1, nil ) ] )
% 2.46/2.82 , clause( 24577, [ neq( sk1, nil ) ] )
% 2.46/2.82 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 paramod(
% 2.46/2.82 clause( 25943, [ frontsegP( sk2, sk3 ), ~( neq( sk4, nil ) ) ] )
% 2.46/2.82 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.46/2.82 , 0, clause( 20367, [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ] )
% 2.46/2.82 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 paramod(
% 2.46/2.82 clause( 25945, [ ~( neq( sk2, nil ) ), frontsegP( sk2, sk3 ) ] )
% 2.46/2.82 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.46/2.82 , 0, clause( 25943, [ frontsegP( sk2, sk3 ), ~( neq( sk4, nil ) ) ] )
% 2.46/2.82 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 paramod(
% 2.46/2.82 clause( 25946, [ frontsegP( sk2, sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.46/2.82 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.46/2.82 , 0, clause( 25945, [ ~( neq( sk2, nil ) ), frontsegP( sk2, sk3 ) ] )
% 2.46/2.82 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 resolution(
% 2.46/2.82 clause( 25947, [ frontsegP( sk2, sk1 ) ] )
% 2.46/2.82 , clause( 25946, [ frontsegP( sk2, sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.46/2.82 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 2.46/2.82 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 subsumption(
% 2.46/2.82 clause( 192, [ frontsegP( sk2, sk1 ) ] )
% 2.46/2.82 , clause( 25947, [ frontsegP( sk2, sk1 ) ] )
% 2.46/2.82 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 resolution(
% 2.46/2.82 clause( 25948, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.46/2.82 , clause( 190, [ ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ] )
% 2.46/2.82 , 0, clause( 191, [ neq( sk1, nil ) ] )
% 2.46/2.82 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 resolution(
% 2.46/2.82 clause( 25949, [] )
% 2.46/2.82 , clause( 25948, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.46/2.82 , 0, clause( 192, [ frontsegP( sk2, sk1 ) ] )
% 2.46/2.82 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 subsumption(
% 2.46/2.82 clause( 20170, [] )
% 2.46/2.82 , clause( 25949, [] )
% 2.46/2.82 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 end.
% 2.46/2.82
% 2.46/2.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.46/2.82
% 2.46/2.82 Memory use:
% 2.46/2.82
% 2.46/2.82 space for terms: 337730
% 2.46/2.82 space for clauses: 949196
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 clauses generated: 77083
% 2.46/2.82 clauses kept: 20171
% 2.46/2.82 clauses selected: 592
% 2.46/2.82 clauses deleted: 1108
% 2.46/2.82 clauses inuse deleted: 5
% 2.46/2.82
% 2.46/2.82 subsentry: 230756
% 2.46/2.82 literals s-matched: 128620
% 2.46/2.82 literals matched: 88290
% 2.46/2.82 full subsumption: 50050
% 2.46/2.82
% 2.46/2.82 checksum: 1163057435
% 2.46/2.82
% 2.46/2.82
% 2.46/2.82 Bliksem ended
%------------------------------------------------------------------------------